Finding the Third Proportional to 76,622.50 and 115,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,622.50 : 115,038.50 = 115,038.50 : x
2. Step 2: Convert to fraction form
   76,622.50/115,038.50 = 115,038.50/x
3. Step 3: Cross multiply
   76,622.50x = 115,038.50 × 115,038.50
4. Step 4: Simplify right side
   76,622.50x = 13,233,856,482.25
5. Step 5: Solve for x
   x = 13,233,856,482.25/76,622.50
6. Step 6: Final answer
   x = 172,715.02