Finding the Third Proportional to 207,196 and 292,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,196 : 292,456.50 = 292,456.50 : x
2. Step 2: Convert to fraction form
   207,196/292,456.50 = 292,456.50/x
3. Step 3: Cross multiply
   207,196x = 292,456.50 × 292,456.50
4. Step 4: Simplify right side
   207,196x = 85,530,804,392.25
5. Step 5: Solve for x
   x = 85,530,804,392.25/207,196
6. Step 6: Final answer
   x = 412,801.43