Finding the Third Proportional to 202,738 and 292,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,738 : 292,037.50 = 292,037.50 : x
2. Step 2: Convert to fraction form
   202,738/292,037.50 = 292,037.50/x
3. Step 3: Cross multiply
   202,738x = 292,037.50 × 292,037.50
4. Step 4: Simplify right side
   202,738x = 85,285,901,406.25
5. Step 5: Solve for x
   x = 85,285,901,406.25/202,738
6. Step 6: Final answer
   x = 420,670.53