Finding the Third Proportional to 77,542 and 116,310

Step by Step Solution

1. Step 1: Write the proportion equation
   77,542 : 116,310 = 116,310 : x
2. Step 2: Convert to fraction form
   77,542/116,310 = 116,310/x
3. Step 3: Cross multiply
   77,542x = 116,310 × 116,310
4. Step 4: Simplify right side
   77,542x = 13,528,016,100
5. Step 5: Solve for x
   x = 13,528,016,100/77,542
6. Step 6: Final answer
   x = 174,460.50