Finding the Third Proportional to 64,374 and 140,844

Step by Step Solution

1. Step 1: Write the proportion equation
   64,374 : 140,844 = 140,844 : x
2. Step 2: Convert to fraction form
   64,374/140,844 = 140,844/x
3. Step 3: Cross multiply
   64,374x = 140,844 × 140,844
4. Step 4: Simplify right side
   64,374x = 19,837,032,336
5. Step 5: Solve for x
   x = 19,837,032,336/64,374
6. Step 6: Final answer
   x = 308,152.86