Finding the Third Proportional to 77,687 and 114,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,687 : 114,069.50 = 114,069.50 : x
2. Step 2: Convert to fraction form
   77,687/114,069.50 = 114,069.50/x
3. Step 3: Cross multiply
   77,687x = 114,069.50 × 114,069.50
4. Step 4: Simplify right side
   77,687x = 13,011,850,830.25
5. Step 5: Solve for x
   x = 13,011,850,830.25/77,687
6. Step 6: Final answer
   x = 167,490.71