Finding the Third Proportional to 259,581 and 379,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,581 : 379,516.50 = 379,516.50 : x
2. Step 2: Convert to fraction form
   259,581/379,516.50 = 379,516.50/x
3. Step 3: Cross multiply
   259,581x = 379,516.50 × 379,516.50
4. Step 4: Simplify right side
   259,581x = 144,032,773,772.25
5. Step 5: Solve for x
   x = 144,032,773,772.25/259,581
6. Step 6: Final answer
   x = 554,866.40