Finding the Third Proportional to 77,058 and 116,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,058 : 116,140.50 = 116,140.50 : x
2. Step 2: Convert to fraction form
   77,058/116,140.50 = 116,140.50/x
3. Step 3: Cross multiply
   77,058x = 116,140.50 × 116,140.50
4. Step 4: Simplify right side
   77,058x = 13,488,615,740.25
5. Step 5: Solve for x
   x = 13,488,615,740.25/77,058
6. Step 6: Final answer
   x = 175,044.98