Finding the Third Proportional to 78,527 and 171,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,527 : 171,720.50 = 171,720.50 : x
2. Step 2: Convert to fraction form
   78,527/171,720.50 = 171,720.50/x
3. Step 3: Cross multiply
   78,527x = 171,720.50 × 171,720.50
4. Step 4: Simplify right side
   78,527x = 29,487,930,120.25
5. Step 5: Solve for x
   x = 29,487,930,120.25/78,527
6. Step 6: Final answer
   x = 375,513.26