Finding the Third Proportional to 103,769 and 152,210

Step by Step Solution

1. Step 1: Write the proportion equation
   103,769 : 152,210 = 152,210 : x
2. Step 2: Convert to fraction form
   103,769/152,210 = 152,210/x
3. Step 3: Cross multiply
   103,769x = 152,210 × 152,210
4. Step 4: Simplify right side
   103,769x = 23,167,884,100
5. Step 5: Solve for x
   x = 23,167,884,100/103,769
6. Step 6: Final answer
   x = 223,264.02