Finding the Third Proportional to 35,230 and 78,058

Step by Step Solution

1. Step 1: Write the proportion equation
   35,230 : 78,058 = 78,058 : x
2. Step 2: Convert to fraction form
   35,230/78,058 = 78,058/x
3. Step 3: Cross multiply
   35,230x = 78,058 × 78,058
4. Step 4: Simplify right side
   35,230x = 6,093,051,364
5. Step 5: Solve for x
   x = 6,093,051,364/35,230
6. Step 6: Final answer
   x = 172,950.65