Finding the Third Proportional to 77,654 and 116,360

Step by Step Solution

1. Step 1: Write the proportion equation
   77,654 : 116,360 = 116,360 : x
2. Step 2: Convert to fraction form
   77,654/116,360 = 116,360/x
3. Step 3: Cross multiply
   77,654x = 116,360 × 116,360
4. Step 4: Simplify right side
   77,654x = 13,539,649,600
5. Step 5: Solve for x
   x = 13,539,649,600/77,654
6. Step 6: Final answer
   x = 174,358.69