Finding the Third Proportional to 146,205 and 314,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146,205 : 314,462.25 = 314,462.25 : x
2. Step 2: Convert to fraction form
   146,205/314,462.25 = 314,462.25/x
3. Step 3: Cross multiply
   146,205x = 314,462.25 × 314,462.25
4. Step 4: Simplify right side
   146,205x = 98,886,506,675.06
5. Step 5: Solve for x
   x = 98,886,506,675.06/146,205
6. Step 6: Final answer
   x = 676,355.16