Finding the Third Proportional to 189,189 and 292,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,189 : 292,945.50 = 292,945.50 : x
2. Step 2: Convert to fraction form
   189,189/292,945.50 = 292,945.50/x
3. Step 3: Cross multiply
   189,189x = 292,945.50 × 292,945.50
4. Step 4: Simplify right side
   189,189x = 85,817,065,970.25
5. Step 5: Solve for x
   x = 85,817,065,970.25/189,189
6. Step 6: Final answer
   x = 453,604.95