Finding the Third Proportional to 189,199 and 292,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,199 : 292,978.50 = 292,978.50 : x
2. Step 2: Convert to fraction form
   189,199/292,978.50 = 292,978.50/x
3. Step 3: Cross multiply
   189,199x = 292,978.50 × 292,978.50
4. Step 4: Simplify right side
   189,199x = 85,836,401,462.25
5. Step 5: Solve for x
   x = 85,836,401,462.25/189,199
6. Step 6: Final answer
   x = 453,683.17