Finding the Third Proportional to 106,276.50 and 230,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,276.50 : 230,008.50 = 230,008.50 : x
2. Step 2: Convert to fraction form
   106,276.50/230,008.50 = 230,008.50/x
3. Step 3: Cross multiply
   106,276.50x = 230,008.50 × 230,008.50
4. Step 4: Simplify right side
   106,276.50x = 52,903,910,072.25
5. Step 5: Solve for x
   x = 52,903,910,072.25/106,276.50
6. Step 6: Final answer
   x = 497,795.00