Finding the Third Proportional to 141,965 and 312,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,965 : 312,735.50 = 312,735.50 : x
2. Step 2: Convert to fraction form
   141,965/312,735.50 = 312,735.50/x
3. Step 3: Cross multiply
   141,965x = 312,735.50 × 312,735.50
4. Step 4: Simplify right side
   141,965x = 97,803,492,960.25
5. Step 5: Solve for x
   x = 97,803,492,960.25/141,965
6. Step 6: Final answer
   x = 688,926.80