Finding the Third Proportional to 153,680 and 314,947

Step by Step Solution

1. Step 1: Write the proportion equation
   153,680 : 314,947 = 314,947 : x
2. Step 2: Convert to fraction form
   153,680/314,947 = 314,947/x
3. Step 3: Cross multiply
   153,680x = 314,947 × 314,947
4. Step 4: Simplify right side
   153,680x = 99,191,612,809
5. Step 5: Solve for x
   x = 99,191,612,809/153,680
6. Step 6: Final answer
   x = 645,442.56