Finding the Third Proportional to 231,683.50 and 370,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,683.50 : 370,007.50 = 370,007.50 : x
2. Step 2: Convert to fraction form
   231,683.50/370,007.50 = 370,007.50/x
3. Step 3: Cross multiply
   231,683.50x = 370,007.50 × 370,007.50
4. Step 4: Simplify right side
   231,683.50x = 136,905,550,056.25
5. Step 5: Solve for x
   x = 136,905,550,056.25/231,683.50
6. Step 6: Final answer
   x = 590,916.27