Finding the Third Proportional to 76,684.50 and 157,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,684.50 : 157,087.50 = 157,087.50 : x
2. Step 2: Convert to fraction form
   76,684.50/157,087.50 = 157,087.50/x
3. Step 3: Cross multiply
   76,684.50x = 157,087.50 × 157,087.50
4. Step 4: Simplify right side
   76,684.50x = 24,676,482,656.25
5. Step 5: Solve for x
   x = 24,676,482,656.25/76,684.50
6. Step 6: Final answer
   x = 321,792.31