Finding the Third Proportional to 189,417.50 and 294,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,417.50 : 294,085.50 = 294,085.50 : x
2. Step 2: Convert to fraction form
   189,417.50/294,085.50 = 294,085.50/x
3. Step 3: Cross multiply
   189,417.50x = 294,085.50 × 294,085.50
4. Step 4: Simplify right side
   189,417.50x = 86,486,281,310.25
5. Step 5: Solve for x
   x = 86,486,281,310.25/189,417.50
6. Step 6: Final answer
   x = 456,590.77