Finding the Third Proportional to 69,758 and 101,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,758 : 101,234.50 = 101,234.50 : x
2. Step 2: Convert to fraction form
   69,758/101,234.50 = 101,234.50/x
3. Step 3: Cross multiply
   69,758x = 101,234.50 × 101,234.50
4. Step 4: Simplify right side
   69,758x = 10,248,423,990.25
5. Step 5: Solve for x
   x = 10,248,423,990.25/69,758
6. Step 6: Final answer
   x = 146,913.96