Finding the Third Proportional to 67,627 and 145,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,627 : 145,437.50 = 145,437.50 : x
2. Step 2: Convert to fraction form
   67,627/145,437.50 = 145,437.50/x
3. Step 3: Cross multiply
   67,627x = 145,437.50 × 145,437.50
4. Step 4: Simplify right side
   67,627x = 21,152,066,406.25
5. Step 5: Solve for x
   x = 21,152,066,406.25/67,627
6. Step 6: Final answer
   x = 312,775.47