Finding the Third Proportional to 345,096 and 706,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,096 : 706,927.50 = 706,927.50 : x
2. Step 2: Convert to fraction form
   345,096/706,927.50 = 706,927.50/x
3. Step 3: Cross multiply
   345,096x = 706,927.50 × 706,927.50
4. Step 4: Simplify right side
   345,096x = 499,746,490,256.25
5. Step 5: Solve for x
   x = 499,746,490,256.25/345,096
6. Step 6: Final answer
   x = 1,448,137.59