Finding the Third Proportional to 107,199 and 169,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,199 : 169,897.50 = 169,897.50 : x
2. Step 2: Convert to fraction form
   107,199/169,897.50 = 169,897.50/x
3. Step 3: Cross multiply
   107,199x = 169,897.50 × 169,897.50
4. Step 4: Simplify right side
   107,199x = 28,865,160,506.25
5. Step 5: Solve for x
   x = 28,865,160,506.25/107,199
6. Step 6: Final answer
   x = 269,267.07