Finding the Third Proportional to 153,681 and 314,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,681 : 314,947.50 = 314,947.50 : x
2. Step 2: Convert to fraction form
   153,681/314,947.50 = 314,947.50/x
3. Step 3: Cross multiply
   153,681x = 314,947.50 × 314,947.50
4. Step 4: Simplify right side
   153,681x = 99,191,927,756.25
5. Step 5: Solve for x
   x = 99,191,927,756.25/153,681
6. Step 6: Final answer
   x = 645,440.41