Finding the Third Proportional to 69,380 and 146,010

Step by Step Solution

1. Step 1: Write the proportion equation
   69,380 : 146,010 = 146,010 : x
2. Step 2: Convert to fraction form
   69,380/146,010 = 146,010/x
3. Step 3: Cross multiply
   69,380x = 146,010 × 146,010
4. Step 4: Simplify right side
   69,380x = 21,318,920,100
5. Step 5: Solve for x
   x = 21,318,920,100/69,380
6. Step 6: Final answer
   x = 307,277.60