Finding the Third Proportional to 77,143.50 and 116,541

Step by Step Solution

1. Step 1: Write the proportion equation
   77,143.50 : 116,541 = 116,541 : x
2. Step 2: Convert to fraction form
   77,143.50/116,541 = 116,541/x
3. Step 3: Cross multiply
   77,143.50x = 116,541 × 116,541
4. Step 4: Simplify right side
   77,143.50x = 13,581,804,681
5. Step 5: Solve for x
   x = 13,581,804,681/77,143.50
6. Step 6: Final answer
   x = 176,058.96