Finding the Third Proportional to 153,489 and 314,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,489 : 314,584.50 = 314,584.50 : x
2. Step 2: Convert to fraction form
   153,489/314,584.50 = 314,584.50/x
3. Step 3: Cross multiply
   153,489x = 314,584.50 × 314,584.50
4. Step 4: Simplify right side
   153,489x = 98,963,407,640.25
5. Step 5: Solve for x
   x = 98,963,407,640.25/153,489
6. Step 6: Final answer
   x = 644,758.96