Finding the Third Proportional to 413,302.50 and 632,178

Step by Step Solution

1. Step 1: Write the proportion equation
   413,302.50 : 632,178 = 632,178 : x
2. Step 2: Convert to fraction form
   413,302.50/632,178 = 632,178/x
3. Step 3: Cross multiply
   413,302.50x = 632,178 × 632,178
4. Step 4: Simplify right side
   413,302.50x = 399,649,023,684
5. Step 5: Solve for x
   x = 399,649,023,684/413,302.50
6. Step 6: Final answer
   x = 966,964.93