Finding the Third Proportional to 69,729 and 105,248.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,729 : 105,248.25 = 105,248.25 : x
2. Step 2: Convert to fraction form
   69,729/105,248.25 = 105,248.25/x
3. Step 3: Cross multiply
   69,729x = 105,248.25 × 105,248.25
4. Step 4: Simplify right side
   69,729x = 11,077,194,128.06
5. Step 5: Solve for x
   x = 11,077,194,128.06/69,729
6. Step 6: Final answer
   x = 158,860.65