Finding the Third Proportional to 69,301 and 105,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,301 : 105,409.50 = 105,409.50 : x
2. Step 2: Convert to fraction form
   69,301/105,409.50 = 105,409.50/x
3. Step 3: Cross multiply
   69,301x = 105,409.50 × 105,409.50
4. Step 4: Simplify right side
   69,301x = 11,111,162,690.25
5. Step 5: Solve for x
   x = 11,111,162,690.25/69,301
6. Step 6: Final answer
   x = 160,331.92