Finding the Third Proportional to 75,724 and 117,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,724 : 117,587.50 = 117,587.50 : x
2. Step 2: Convert to fraction form
   75,724/117,587.50 = 117,587.50/x
3. Step 3: Cross multiply
   75,724x = 117,587.50 × 117,587.50
4. Step 4: Simplify right side
   75,724x = 13,826,820,156.25
5. Step 5: Solve for x
   x = 13,826,820,156.25/75,724
6. Step 6: Final answer
   x = 182,594.95