Finding the Third Proportional to 184,394 and 402,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,394 : 402,299.50 = 402,299.50 : x
2. Step 2: Convert to fraction form
   184,394/402,299.50 = 402,299.50/x
3. Step 3: Cross multiply
   184,394x = 402,299.50 × 402,299.50
4. Step 4: Simplify right side
   184,394x = 161,844,887,700.25
5. Step 5: Solve for x
   x = 161,844,887,700.25/184,394
6. Step 6: Final answer
   x = 877,712.33