Finding the Third Proportional to 76,941.75 and 116,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,941.75 : 116,437.50 = 116,437.50 : x
2. Step 2: Convert to fraction form
   76,941.75/116,437.50 = 116,437.50/x
3. Step 3: Cross multiply
   76,941.75x = 116,437.50 × 116,437.50
4. Step 4: Simplify right side
   76,941.75x = 13,557,691,406.25
5. Step 5: Solve for x
   x = 13,557,691,406.25/76,941.75
6. Step 6: Final answer
   x = 176,207.21