Finding the Third Proportional to 134,410 and 293,012

Step by Step Solution

1. Step 1: Write the proportion equation
   134,410 : 293,012 = 293,012 : x
2. Step 2: Convert to fraction form
   134,410/293,012 = 293,012/x
3. Step 3: Cross multiply
   134,410x = 293,012 × 293,012
4. Step 4: Simplify right side
   134,410x = 85,856,032,144
5. Step 5: Solve for x
   x = 85,856,032,144/134,410
6. Step 6: Final answer
   x = 638,762.24