Finding the Third Proportional to 342,774 and 512,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   342,774 : 512,641.50 = 512,641.50 : x
2. Step 2: Convert to fraction form
   342,774/512,641.50 = 512,641.50/x
3. Step 3: Cross multiply
   342,774x = 512,641.50 × 512,641.50
4. Step 4: Simplify right side
   342,774x = 262,801,307,522.25
5. Step 5: Solve for x
   x = 262,801,307,522.25/342,774
6. Step 6: Final answer
   x = 766,689.74