Finding the Third Proportional to 103,693 and 152,137

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693 : 152,137 = 152,137 : x
2. Step 2: Convert to fraction form
   103,693/152,137 = 152,137/x
3. Step 3: Cross multiply
   103,693x = 152,137 × 152,137
4. Step 4: Simplify right side
   103,693x = 23,145,666,769
5. Step 5: Solve for x
   x = 23,145,666,769/103,693
6. Step 6: Final answer
   x = 223,213.40