Finding the Third Proportional to 123,060 and 189,784

Step by Step Solution

1. Step 1: Write the proportion equation
   123,060 : 189,784 = 189,784 : x
2. Step 2: Convert to fraction form
   123,060/189,784 = 189,784/x
3. Step 3: Cross multiply
   123,060x = 189,784 × 189,784
4. Step 4: Simplify right side
   123,060x = 36,017,966,656
5. Step 5: Solve for x
   x = 36,017,966,656/123,060
6. Step 6: Final answer
   x = 292,686.22