Finding the Third Proportional to 157,896 and 346,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,896 : 346,378.50 = 346,378.50 : x
2. Step 2: Convert to fraction form
   157,896/346,378.50 = 346,378.50/x
3. Step 3: Cross multiply
   157,896x = 346,378.50 × 346,378.50
4. Step 4: Simplify right side
   157,896x = 119,978,065,262.25
5. Step 5: Solve for x
   x = 119,978,065,262.25/157,896
6. Step 6: Final answer
   x = 759,855.00