Finding the Third Proportional to 189,199.25 and 292,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   189,199.25 : 292,978.88 = 292,978.88 : x
2. Step 2: Convert to fraction form
   189,199.25/292,978.88 = 292,978.88/x
3. Step 3: Cross multiply
   189,199.25x = 292,978.88 × 292,978.88
4. Step 4: Simplify right side
   189,199.25x = 85,836,621,196.27
5. Step 5: Solve for x
   x = 85,836,621,196.27/189,199.25
6. Step 6: Final answer
   x = 453,683.73