Finding the Third Proportional to 90,588 and 213,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,588 : 213,148.50 = 213,148.50 : x
2. Step 2: Convert to fraction form
   90,588/213,148.50 = 213,148.50/x
3. Step 3: Cross multiply
   90,588x = 213,148.50 × 213,148.50
4. Step 4: Simplify right side
   90,588x = 45,432,283,052.25
5. Step 5: Solve for x
   x = 45,432,283,052.25/90,588
6. Step 6: Final answer
   x = 501,526.51