Finding the Third Proportional to 141,553 and 333,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,553 : 333,680.50 = 333,680.50 : x
2. Step 2: Convert to fraction form
   141,553/333,680.50 = 333,680.50/x
3. Step 3: Cross multiply
   141,553x = 333,680.50 × 333,680.50
4. Step 4: Simplify right side
   141,553x = 111,342,676,080.25
5. Step 5: Solve for x
   x = 111,342,676,080.25/141,553
6. Step 6: Final answer
   x = 786,579.42