Finding the Third Proportional to 333,141 and 529,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,141 : 529,843.50 = 529,843.50 : x
2. Step 2: Convert to fraction form
   333,141/529,843.50 = 529,843.50/x
3. Step 3: Cross multiply
   333,141x = 529,843.50 × 529,843.50
4. Step 4: Simplify right side
   333,141x = 280,734,134,492.25
5. Step 5: Solve for x
   x = 280,734,134,492.25/333,141
6. Step 6: Final answer
   x = 842,688.63