Finding the Third Proportional to 117,626 and 177,534.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,626 : 177,534.75 = 177,534.75 : x
2. Step 2: Convert to fraction form
   117,626/177,534.75 = 177,534.75/x
3. Step 3: Cross multiply
   117,626x = 177,534.75 × 177,534.75
4. Step 4: Simplify right side
   117,626x = 31,518,587,457.56
5. Step 5: Solve for x
   x = 31,518,587,457.56/117,626
6. Step 6: Final answer
   x = 267,955.96