Finding the Third Proportional to 74,654 and 113,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,654 : 113,165.50 = 113,165.50 : x
2. Step 2: Convert to fraction form
   74,654/113,165.50 = 113,165.50/x
3. Step 3: Cross multiply
   74,654x = 113,165.50 × 113,165.50
4. Step 4: Simplify right side
   74,654x = 12,806,430,390.25
5. Step 5: Solve for x
   x = 12,806,430,390.25/74,654
6. Step 6: Final answer
   x = 171,543.79