Finding the Third Proportional to 97,626 and 213,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,626 : 213,152.50 = 213,152.50 : x
2. Step 2: Convert to fraction form
   97,626/213,152.50 = 213,152.50/x
3. Step 3: Cross multiply
   97,626x = 213,152.50 × 213,152.50
4. Step 4: Simplify right side
   97,626x = 45,433,988,256.25
5. Step 5: Solve for x
   x = 45,433,988,256.25/97,626
6. Step 6: Final answer
   x = 465,388.20