Finding the Third Proportional to 88,494 and 191,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,494 : 191,074.50 = 191,074.50 : x
2. Step 2: Convert to fraction form
   88,494/191,074.50 = 191,074.50/x
3. Step 3: Cross multiply
   88,494x = 191,074.50 × 191,074.50
4. Step 4: Simplify right side
   88,494x = 36,509,464,550.25
5. Step 5: Solve for x
   x = 36,509,464,550.25/88,494
6. Step 6: Final answer
   x = 412,564.29