Finding the Third Proportional to 138,152 and 301,280

Step by Step Solution

1. Step 1: Write the proportion equation
   138,152 : 301,280 = 301,280 : x
2. Step 2: Convert to fraction form
   138,152/301,280 = 301,280/x
3. Step 3: Cross multiply
   138,152x = 301,280 × 301,280
4. Step 4: Simplify right side
   138,152x = 90,769,638,400
5. Step 5: Solve for x
   x = 90,769,638,400/138,152
6. Step 6: Final answer
   x = 657,027.32