Finding the Third Proportional to 78,213 and 171,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,213 : 171,127.50 = 171,127.50 : x
2. Step 2: Convert to fraction form
   78,213/171,127.50 = 171,127.50/x
3. Step 3: Cross multiply
   78,213x = 171,127.50 × 171,127.50
4. Step 4: Simplify right side
   78,213x = 29,284,621,256.25
5. Step 5: Solve for x
   x = 29,284,621,256.25/78,213
6. Step 6: Final answer
   x = 374,421.40