Finding the Third Proportional to 83,646,031.50 and 181,188,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,646,031.50 : 181,188,256.50 = 181,188,256.50 : x
2. Step 2: Convert to fraction form
   83,646,031.50/181,188,256.50 = 181,188,256.50/x
3. Step 3: Cross multiply
   83,646,031.50x = 181,188,256.50 × 181,188,256.50
4. Step 4: Simplify right side
   83,646,031.50x = 32,829,184,293,509,792
5. Step 5: Solve for x
   x = 32,829,184,293,509,792/83,646,031.50
6. Step 6: Final answer
   x = 392,477,487.63