Finding the Third Proportional to 164,058.75 and 358,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,058.75 : 358,978.50 = 358,978.50 : x
2. Step 2: Convert to fraction form
   164,058.75/358,978.50 = 358,978.50/x
3. Step 3: Cross multiply
   164,058.75x = 358,978.50 × 358,978.50
4. Step 4: Simplify right side
   164,058.75x = 128,865,563,462.25
5. Step 5: Solve for x
   x = 128,865,563,462.25/164,058.75
6. Step 6: Final answer
   x = 785,484.25