Finding the Third Proportional to 88,024 and 190,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,024 : 190,077.50 = 190,077.50 : x
2. Step 2: Convert to fraction form
   88,024/190,077.50 = 190,077.50/x
3. Step 3: Cross multiply
   88,024x = 190,077.50 × 190,077.50
4. Step 4: Simplify right side
   88,024x = 36,129,456,006.25
5. Step 5: Solve for x
   x = 36,129,456,006.25/88,024
6. Step 6: Final answer
   x = 410,450.06