Finding the Third Proportional to 182,207 and 254,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,207 : 254,788.50 = 254,788.50 : x
2. Step 2: Convert to fraction form
   182,207/254,788.50 = 254,788.50/x
3. Step 3: Cross multiply
   182,207x = 254,788.50 × 254,788.50
4. Step 4: Simplify right side
   182,207x = 64,917,179,732.25
5. Step 5: Solve for x
   x = 64,917,179,732.25/182,207
6. Step 6: Final answer
   x = 356,282.58