Finding the Third Proportional to 73,024 and 110,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,024 : 110,077.50 = 110,077.50 : x
2. Step 2: Convert to fraction form
   73,024/110,077.50 = 110,077.50/x
3. Step 3: Cross multiply
   73,024x = 110,077.50 × 110,077.50
4. Step 4: Simplify right side
   73,024x = 12,117,056,006.25
5. Step 5: Solve for x
   x = 12,117,056,006.25/73,024
6. Step 6: Final answer
   x = 165,932.52