Finding the Third Proportional to 96,575 and 155,123

Step by Step Solution

1. Step 1: Write the proportion equation
   96,575 : 155,123 = 155,123 : x
2. Step 2: Convert to fraction form
   96,575/155,123 = 155,123/x
3. Step 3: Cross multiply
   96,575x = 155,123 × 155,123
4. Step 4: Simplify right side
   96,575x = 24,063,145,129
5. Step 5: Solve for x
   x = 24,063,145,129/96,575
6. Step 6: Final answer
   x = 249,165.37