Finding the Third Proportional to 69,822 and 101,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,822 : 101,209.50 = 101,209.50 : x
2. Step 2: Convert to fraction form
   69,822/101,209.50 = 101,209.50/x
3. Step 3: Cross multiply
   69,822x = 101,209.50 × 101,209.50
4. Step 4: Simplify right side
   69,822x = 10,243,362,890.25
5. Step 5: Solve for x
   x = 10,243,362,890.25/69,822
6. Step 6: Final answer
   x = 146,706.81