Finding the Third Proportional to 77,688 and 113,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,688 : 113,962.50 = 113,962.50 : x
2. Step 2: Convert to fraction form
   77,688/113,962.50 = 113,962.50/x
3. Step 3: Cross multiply
   77,688x = 113,962.50 × 113,962.50
4. Step 4: Simplify right side
   77,688x = 12,987,451,406.25
5. Step 5: Solve for x
   x = 12,987,451,406.25/77,688
6. Step 6: Final answer
   x = 167,174.49