Finding the Third Proportional to 103,695 and 152,139

Step by Step Solution

1. Step 1: Write the proportion equation
   103,695 : 152,139 = 152,139 : x
2. Step 2: Convert to fraction form
   103,695/152,139 = 152,139/x
3. Step 3: Cross multiply
   103,695x = 152,139 × 152,139
4. Step 4: Simplify right side
   103,695x = 23,146,275,321
5. Step 5: Solve for x
   x = 23,146,275,321/103,695
6. Step 6: Final answer
   x = 223,214.96