Finding the Third Proportional to 88,914 and 192,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,914 : 192,583.50 = 192,583.50 : x
2. Step 2: Convert to fraction form
   88,914/192,583.50 = 192,583.50/x
3. Step 3: Cross multiply
   88,914x = 192,583.50 × 192,583.50
4. Step 4: Simplify right side
   88,914x = 37,088,404,472.25
5. Step 5: Solve for x
   x = 37,088,404,472.25/88,914
6. Step 6: Final answer
   x = 417,126.71