Finding the Third Proportional to 103,679 and 152,117

Step by Step Solution

1. Step 1: Write the proportion equation
   103,679 : 152,117 = 152,117 : x
2. Step 2: Convert to fraction form
   103,679/152,117 = 152,117/x
3. Step 3: Cross multiply
   103,679x = 152,117 × 152,117
4. Step 4: Simplify right side
   103,679x = 23,139,581,689
5. Step 5: Solve for x
   x = 23,139,581,689/103,679
6. Step 6: Final answer
   x = 223,184.85