Finding the Third Proportional to 107,490 and 166,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,490 : 166,999.50 = 166,999.50 : x
2. Step 2: Convert to fraction form
   107,490/166,999.50 = 166,999.50/x
3. Step 3: Cross multiply
   107,490x = 166,999.50 × 166,999.50
4. Step 4: Simplify right side
   107,490x = 27,888,833,000.25
5. Step 5: Solve for x
   x = 27,888,833,000.25/107,490
6. Step 6: Final answer
   x = 259,455.14