Finding the Third Proportional to 209,070 and 314,076

Step by Step Solution

1. Step 1: Write the proportion equation
   209,070 : 314,076 = 314,076 : x
2. Step 2: Convert to fraction form
   209,070/314,076 = 314,076/x
3. Step 3: Cross multiply
   209,070x = 314,076 × 314,076
4. Step 4: Simplify right side
   209,070x = 98,643,733,776
5. Step 5: Solve for x
   x = 98,643,733,776/209,070
6. Step 6: Final answer
   x = 471,821.56