Finding the Third Proportional to 164,178 and 249,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,178 : 249,577.50 = 249,577.50 : x
2. Step 2: Convert to fraction form
   164,178/249,577.50 = 249,577.50/x
3. Step 3: Cross multiply
   164,178x = 249,577.50 × 249,577.50
4. Step 4: Simplify right side
   164,178x = 62,288,928,506.25
5. Step 5: Solve for x
   x = 62,288,928,506.25/164,178
6. Step 6: Final answer
   x = 379,398.75