Finding the Third Proportional to 77,118 and 116,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,118 : 116,649.50 = 116,649.50 : x
2. Step 2: Convert to fraction form
   77,118/116,649.50 = 116,649.50/x
3. Step 3: Cross multiply
   77,118x = 116,649.50 × 116,649.50
4. Step 4: Simplify right side
   77,118x = 13,607,105,850.25
5. Step 5: Solve for x
   x = 13,607,105,850.25/77,118
6. Step 6: Final answer
   x = 176,445.26