Finding the Third Proportional to 307,056 and 468,012

Step by Step Solution

1. Step 1: Write the proportion equation
   307,056 : 468,012 = 468,012 : x
2. Step 2: Convert to fraction form
   307,056/468,012 = 468,012/x
3. Step 3: Cross multiply
   307,056x = 468,012 × 468,012
4. Step 4: Simplify right side
   307,056x = 219,035,232,144
5. Step 5: Solve for x
   x = 219,035,232,144/307,056
6. Step 6: Final answer
   x = 713,339.69