Finding the Third Proportional to 123,020 and 189,786

Step by Step Solution

1. Step 1: Write the proportion equation
   123,020 : 189,786 = 189,786 : x
2. Step 2: Convert to fraction form
   123,020/189,786 = 189,786/x
3. Step 3: Cross multiply
   123,020x = 189,786 × 189,786
4. Step 4: Simplify right side
   123,020x = 36,018,725,796
5. Step 5: Solve for x
   x = 36,018,725,796/123,020
6. Step 6: Final answer
   x = 292,787.56