Finding the Third Proportional to 133,677 and 181,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,677 : 181,594.50 = 181,594.50 : x
2. Step 2: Convert to fraction form
   133,677/181,594.50 = 181,594.50/x
3. Step 3: Cross multiply
   133,677x = 181,594.50 × 181,594.50
4. Step 4: Simplify right side
   133,677x = 32,976,562,430.25
5. Step 5: Solve for x
   x = 32,976,562,430.25/133,677
6. Step 6: Final answer
   x = 246,688.38