Finding the Third Proportional to 65,938 and 144,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,938 : 144,511.50 = 144,511.50 : x
2. Step 2: Convert to fraction form
   65,938/144,511.50 = 144,511.50/x
3. Step 3: Cross multiply
   65,938x = 144,511.50 × 144,511.50
4. Step 4: Simplify right side
   65,938x = 20,883,573,632.25
5. Step 5: Solve for x
   x = 20,883,573,632.25/65,938
6. Step 6: Final answer
   x = 316,715.30