Finding the Third Proportional to 190,402.50 and 413,582

Step by Step Solution

1. Step 1: Write the proportion equation
   190,402.50 : 413,582 = 413,582 : x
2. Step 2: Convert to fraction form
   190,402.50/413,582 = 413,582/x
3. Step 3: Cross multiply
   190,402.50x = 413,582 × 413,582
4. Step 4: Simplify right side
   190,402.50x = 171,050,070,724
5. Step 5: Solve for x
   x = 171,050,070,724/190,402.50
6. Step 6: Final answer
   x = 898,360.42