Finding the Third Proportional to 204,129 and 266,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,129 : 266,827.50 = 266,827.50 : x
2. Step 2: Convert to fraction form
   204,129/266,827.50 = 266,827.50/x
3. Step 3: Cross multiply
   204,129x = 266,827.50 × 266,827.50
4. Step 4: Simplify right side
   204,129x = 71,196,914,756.25
5. Step 5: Solve for x
   x = 71,196,914,756.25/204,129
6. Step 6: Final answer
   x = 348,783.93