Finding the Third Proportional to 142,822 and 333,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,822 : 333,787.50 = 333,787.50 : x
2. Step 2: Convert to fraction form
   142,822/333,787.50 = 333,787.50/x
3. Step 3: Cross multiply
   142,822x = 333,787.50 × 333,787.50
4. Step 4: Simplify right side
   142,822x = 111,414,095,156.25
5. Step 5: Solve for x
   x = 111,414,095,156.25/142,822
6. Step 6: Final answer
   x = 780,090.57