Finding the Third Proportional to 150,888 and 314,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,888 : 314,167.50 = 314,167.50 : x
2. Step 2: Convert to fraction form
   150,888/314,167.50 = 314,167.50/x
3. Step 3: Cross multiply
   150,888x = 314,167.50 × 314,167.50
4. Step 4: Simplify right side
   150,888x = 98,701,218,056.25
5. Step 5: Solve for x
   x = 98,701,218,056.25/150,888
6. Step 6: Final answer
   x = 654,135.64