Finding the Third Proportional to 89,664 and 125,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,664 : 125,662.50 = 125,662.50 : x
2. Step 2: Convert to fraction form
   89,664/125,662.50 = 125,662.50/x
3. Step 3: Cross multiply
   89,664x = 125,662.50 × 125,662.50
4. Step 4: Simplify right side
   89,664x = 15,791,063,906.25
5. Step 5: Solve for x
   x = 15,791,063,906.25/89,664
6. Step 6: Final answer
   x = 176,113.76