Finding the Third Proportional to 416,169 and 561,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,169 : 561,343.50 = 561,343.50 : x
2. Step 2: Convert to fraction form
   416,169/561,343.50 = 561,343.50/x
3. Step 3: Cross multiply
   416,169x = 561,343.50 × 561,343.50
4. Step 4: Simplify right side
   416,169x = 315,106,524,992.25
5. Step 5: Solve for x
   x = 315,106,524,992.25/416,169
6. Step 6: Final answer
   x = 757,160.01