Finding the Third Proportional to 180,339 and 385,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,339 : 385,693.50 = 385,693.50 : x
2. Step 2: Convert to fraction form
   180,339/385,693.50 = 385,693.50/x
3. Step 3: Cross multiply
   180,339x = 385,693.50 × 385,693.50
4. Step 4: Simplify right side
   180,339x = 148,759,475,942.25
5. Step 5: Solve for x
   x = 148,759,475,942.25/180,339
6. Step 6: Final answer
   x = 824,887.99