Finding the Third Proportional to 74,365.50 and 117,624

Step by Step Solution

1. Step 1: Write the proportion equation
   74,365.50 : 117,624 = 117,624 : x
2. Step 2: Convert to fraction form
   74,365.50/117,624 = 117,624/x
3. Step 3: Cross multiply
   74,365.50x = 117,624 × 117,624
4. Step 4: Simplify right side
   74,365.50x = 13,835,405,376
5. Step 5: Solve for x
   x = 13,835,405,376/74,365.50
6. Step 6: Final answer
   x = 186,046.02