Finding the Third Proportional to 312,196.50 and 464,838.75

Step by Step Solution

1. Step 1: Write the proportion equation
   312,196.50 : 464,838.75 = 464,838.75 : x
2. Step 2: Convert to fraction form
   312,196.50/464,838.75 = 464,838.75/x
3. Step 3: Cross multiply
   312,196.50x = 464,838.75 × 464,838.75
4. Step 4: Simplify right side
   312,196.50x = 216,075,063,501.56
5. Step 5: Solve for x
   x = 216,075,063,501.56/312,196.50
6. Step 6: Final answer
   x = 692,112.38