Finding the Third Proportional to 212,641.50 and 342,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,641.50 : 342,613.50 = 342,613.50 : x
2. Step 2: Convert to fraction form
   212,641.50/342,613.50 = 342,613.50/x
3. Step 3: Cross multiply
   212,641.50x = 342,613.50 × 342,613.50
4. Step 4: Simplify right side
   212,641.50x = 117,384,010,382.25
5. Step 5: Solve for x
   x = 117,384,010,382.25/212,641.50
6. Step 6: Final answer
   x = 552,027.76